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Simplifying -6(5p + 3) + -44 = 2(2p + 3) Reorder the terms: -6(3 + 5p) + -44 = 2(2p + 3) (3 * -6 + 5p * -6) + -44 = 2(2p + 3) (-18 + -30p) + -44 = 2(2p + 3) Reorder the terms: -18 + -44 + -30p = 2(2p + 3) Combine like terms: -18 + -44 = -62 -62 + -30p = 2(2p + 3) Reorder the terms: -62 + -30p = 2(3 + 2p) -62 + -30p = (3 * 2 + 2p * 2) -62 + -30p = (6 + 4p) Solving -62 + -30p = 6 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -62 + -30p + -4p = 6 + 4p + -4p Combine like terms: -30p + -4p = -34p -62 + -34p = 6 + 4p + -4p Combine like terms: 4p + -4p = 0 -62 + -34p = 6 + 0 -62 + -34p = 6 Add '62' to each side of the equation. -62 + 62 + -34p = 6 + 62 Combine like terms: -62 + 62 = 0 0 + -34p = 6 + 62 -34p = 6 + 62 Combine like terms: 6 + 62 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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